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Finding the Third Proportional to 99,775.13 and 204,211.13

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Solution

The third proportional to 99,775.13 and 204,211.13 is: 417,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,775.13 : 204,211.13 = 204,211.13 : x
  2. Step 2: Convert to fraction form
    99,775.13/204,211.13 = 204,211.13/x
  3. Step 3: Cross multiply
    99,775.13x = 204,211.13 × 204,211.13
  4. Step 4: Simplify right side
    99,775.13x = 41,702,183,573.77
  5. Step 5: Solve for x
    x = 41,702,183,573.77/99,775.13
  6. Step 6: Final answer
    x = 417,961.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.